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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity

Author: James F. Glazebrook
Journal: Proc. Amer. Math. Soc. 107 (1989), 261-269
MSC: Primary 58E20
MathSciNet review: 975643
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Abstract: For harmonic maps of equidimensional compact Kähler manifolds satisfying certain conditions, a Chern class inequality is stated. If the map satisfies this inequality, it is holomorphic. The main result may be compared with a theorem of Eells and Wood for compact Riemann surfaces.

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Keywords: Harmonic maps, pluriharmonic maps, holomorphic maps, Kähler manifolds, strongly seminegative curvature, Chern class, Kodaira surface
Article copyright: © Copyright 1989 American Mathematical Society